2 5/8+ 1/3 Simplify the expression above. Which of the following is correct?
A. 7 7/8
B. 1 1/7
C. 7/8
D. 8/63
2 5/8 = 2 15/24
1/3 = 8/24
2 15/24 + 8/24 = 2 23/24
None of your answers is correct.
To simplify the expression 2 5/8 + 1/3, we first need to find a common denominator for the fractions. The denominators are 8 and 3, so the common denominator is 24.
Now, we can convert the mixed number 2 5/8 into an improper fraction:
2 5/8 = (2 * 8 + 5)/8 = 21/8.
Next, we adjust the fractions to have the same denominator:
21/8 + 1/3 = (21/8) * (3/3) + (1/3) * (8/8) = 63/24 + 8/24.
Now that the fractions have the same denominator, we can simply add the numerators:
63/24 + 8/24 = (63 + 8)/24 = 71/24.
To simplify this fraction further, we can divide the numerator and denominator by their greatest common divisor, which is 1:
71/24 = 71 ÷ 1 / 24 ÷ 1 = 71/24.
Therefore, the correct simplified expression is 71/24.
None of the provided options is correct.
To simplify the expression 2 5/8 + 1/3, we first need to find a common denominator for the fractions. The denominator for 5/8 is 8, and the denominator for 1/3 is 3.
To find the common denominator, we multiply the denominators together: 8 * 3 = 24.
Now, we need to convert the fractions to have the common denominator of 24.
For the fraction 5/8, we need to multiply both the numerator and denominator by 3 to get: (5 * 3) / (8 * 3) = 15/24.
For the fraction 1/3, we need to multiply both the numerator and denominator by 8 to get: (1 * 8) / (3 * 8) = 8/24.
Now that both fractions have the common denominator of 24, we can add them: 15/24 + 8/24 = (15 + 8) / 24 = 23/24.
So, the simplified expression is 23/24.
Out of the given options, none of them match the simplified expression 23/24. Therefore, none of the options A, B, C, or D are correct.